%% dx = (0.03125,0.03125)
solution = [
0 0 1.69407e-20 5.26895e-16 3.34383e-16 3.09475e-16 -9.90709e-16 -2.44495e-16 -1.58075e-14 -1.33202e-15 1.97228e-15 -7.90441e-17 -5.09167e-15 -2.71551e-15 9.31856e-15 1.49467e-14 -1.07862e-14 -1.20192e-14 1.0147e-14 -3.34412e-15 -1.04993e-13 8.6628e-15 7.23906e-15 8.67336e-15 1.75727e-14 3.6752e-15 6.44738e-15 1.93042e-14 6.98105e-14 1.06994e-14 5.70564e-15 9.48622e-15 0 
-0 8.75707e-07 3.65706e-06 8.34223e-06 1.49292e-05 2.34154e-05 3.37983e-05 4.60744e-05 6.02402e-05 7.62917e-05 9.42248e-05 0.000114035 0.000135717 0.000159265 0.000184676 0.000211949 0.000241091 0.000272119 0.000305061 0.000339966 0.000376896 0.000415899 0.000456991 0.000500152 0.000545343 0.000592521 0.000641652 0.000692709 0.000745677 0.000800547 0.000857318 0.000915988 0.000976562 
-3.78454e-18 3.66047e-06 1.4947e-05 3.38562e-05 6.03839e-05 9.45254e-05 0.000136275 0.000185626 0.000242572 0.000307104 0.000379215 0.000458894 0.000546133 0.000640918 0.000743237 0.000853088 0.000970485 0.00109545 0.00122805 0.00136837 0.00151657 0.00167276 0.00183698 0.00200917 0.00218924 0.00237709 0.00257265 0.00277587 0.00298672 0.00320518 0.00343126 0.00366494 0.00390625 
7.30481e-18 8.35586e-06 3.38732e-05 7.65471e-05 0.000136372 0.00021334 0.000307444 0.000418674 0.000547018 0.000692464 0.000855 0.00103461 0.00123129 0.00144501 0.00167574 0.00192346 0.00218822 0.00247002 0.00276892 0.00308508 0.00341881 0.00377036 0.00413978 0.00452692 0.00493161 0.00535367 0.00579299 0.00624949 0.00672314 0.00721392 0.00772182 0.00824687 0.00878906 
-1.98273e-16 1.49632e-05 6.04384e-05 0.00013642 0.0002429 0.00037987 0.000547318 0.000745233 0.000973597 0.00123239 0.00152161 0.00184123 0.00219123 0.00257159 0.00298224 0.00342313 0.00389435 0.00439588 0.00492766 0.00548994 0.00608333 0.00670841 0.00736517 0.00805329 0.00877241 0.00952226 0.0103027 0.0111136 0.011955 0.0128268 0.013729 0.0146618 0.015625 
-1.44741e-16 2.34835e-05 9.46447e-05 0.000213477 0.000379973 0.000594121 0.000855909 0.00116532 0.00152233 0.00192692 0.00237907 0.00287876 0.00342599 0.00402075 0.00466287 0.00535215 0.00608898 0.00687322 0.00770442 0.00858276 0.00950961 0.0104864 0.0115129 0.0125882 0.0137116 0.0148829 0.0161018 0.0173682 0.0186822 0.0200438 0.0214529 0.0229097 0.0244141 
1.03175e-14 3.3917e-05 0.000136493 0.000307721 0.000547594 0.0008561 0.00123323 0.00167895 0.00219324 0.00277607 0.0034274 0.00414722 0.00493558 0.00579255 0.00671786 0.00771046 0.00877214 0.00990251 0.0110997 0.0123633 0.0136965 0.0151037 0.0165826 0.0181315 0.0197493 0.0214357 0.0231904 0.0250134 0.0269049 0.0288649 0.0308934 0.0329905 0.0351562 
-7.56448e-16 4.62636e-05 0.000185983 0.000419151 0.000745763 0.00116581 0.00167927 0.00228613 0.00298635 0.00377988 0.00466663 0.00564658 0.00671988 0.00788703 0.00914807 0.0104975 0.0119436 0.0134849 0.0151152 0.0168314 0.0186412 0.0205588 0.0225742 0.0246836 0.0268859 0.0291808 0.0315686 0.0340494 0.0366232 0.0392903 0.0420507 0.0449044 0.0478516 
-1.22602e-15 6.05223e-05 0.000243112 0.000547765 0.000974477 0.00152324 0.00219405 0.00298688 0.00390169 0.00493841 0.00609687 0.00737686 0.00877844 0.0103034 0 0 0 0 0 0 0 0.0268509 0.0294885 0.0322453 0.0351218 0.0381187 0.0412367 0.0444761 0.0478371 0.0513199 0.0549246 0.0586513 0.0625 
-6.78711e-17 7.66917e-05 0.000307877 0.000693555 0.00123373 0.00192839 0.00277754 0.00378118 0.00493927 0.00625176 0.00771837 0.0093384 0.0111103 0 0 0 0 0 0 0 0 0 0.0373288 0.0408183 0.0444579 0.0482497 0.0521948 0.0562937 0.0605467 0.0649538 0.0695153 0.0742312 0.0791016 
-6.17974e-15 9.47697e-05 0.000380274 0.000856515 0.0015235 0.00238122 0.0034297 0.00466896 0.00609904 0.00771997 0.0095317 0.0115333 0 0 0 0 0 0 0 0 0 0 0 0.0504047 0.0548949 0.059574 0.064443 0.0695022 0.0747518 0.080192 0.0858227 0.0916441 0.0976562 
1.5786e-16 0.000114755 0.0004603 0.00103664 0.00184377 0.00288172 0.00415049 0.00565013 0.00738075 0.00934261 0.0115366 0 0 0 0 0 0 0 0 0 0 0 0 0.0610042 0.0664323 0.0720914 0.0779811 0.0841015 0.0904526 0.0970343 0.103847 0.11089 0.118164 
2.33199e-14 0.000136647 0.000547952 0.00123392 0.00219455 0.00342985 0.00493985 0.00672458 0.00878407 0.0111184 0.0137273 0 0 0 0 0 0 0 0 0 0 0 0 0.0726112 0.0790683 0.0858009 0.0928086 0.100091 0.107649 0.115481 0.123588 0.131969 0.140625 
-4.68375e-17 0.000160445 0.000643231 0.00144836 0.00257582 0.00402564 0.00579782 0.00789237 0.0103093 0.0130487 0.0161103 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0928021 0.100702 0.108925 0.117472 0.12634 0.135531 0.145045 0.154881 0.165039 
1.71521e-15 0.000186152 0.00074614 0.00167996 0.00298761 0.00466909 0.00672441 0.00915356 0.0119566 0.0151336 0.0186852 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107631 0.116794 0.126331 0.136242 0.146527 0.157186 0.168219 0.179626 0.191406 
2.68102e-15 0.00021377 0.000856687 0.00192874 0.00342993 0.00536024 0.00771966 0.0105082 0.0137258 0.0173725 0.0214485 0 0 0 0 0 0 0 0 0 0 0 0 0.113474 0.12356 0.134077 0.145025 0.156403 0.168209 0.180445 0.19311 0.206204 0.219727 
-1.0544e-13 0.000243303 0.000974878 0.00219471 0.0039028 0.00609911 0.00878363 0.0119563 0.015617 0.0197656 0.024401 0 0 0 0 0 0 0 0 0 0 0 0 0.129104 0.140584 0.152552 0.165009 0.177954 0.191387 0.205308 0.219717 0.234614 0.25 
2.09208e-15 0.000274753 0.00110072 0.00247788 0.00440623 0.00688574 0.00991639 0.0134981 0.0176309 0.0223145 0.0275489 0.0333344 0 0 0 0 0 0 0 0 0 0 0.133331 0.145743 0.158706 0.172219 0.186282 0.200896 0.21606 0.231775 0.248041 0.264858 0.282227 
-2.68622e-15 0.000308121 0.00123421 0.00277826 0.00494024 0.00772015 0.011118 0.0151336 0.0197671 0.0250185 0.0308877 0.0373753 0.044482 0 0 0 0 0 0 0 0 0 0.149457 0.163391 0.177928 0.193079 0.208845 0.225228 0.242229 0.259846 0.278082 0.296935 0.316406 
6.47919e-15 0.00034341 0.00137536 0.00309584 0.00550483 0.00860232 0.0123883 0.0168627 0.0220256 0.027877 0.0344169 0.0416456 0.0495633 0.0581697 0 0 0 0 0 0 0.137641 0.15173 0.166552 0.182061 0.198254 0.215134 0.232699 0.250952 0.269893 0.289522 0.309839 0.330845 0.352539 
-7.35835e-14 0.000380618 0.00152416 0.00343062 0.00609999 0.00953224 0.0137274 0.0186854 0.0244062 0.03089 0.0381367 0.0461463 0.0549189 0.0644543 0.0747519 0.0858098 0.0976309 0.110216 0.123561 0.137662 0.15253 0.168162 0.18457 0.201745 0.219682 0.238382 0.257844 0.278067 0.299054 0.320802 0.343314 0.366588 0.390625 
-6.29705e-15 0.000419746 0.00168062 0.00378261 0.00672572 0.0105099 0.0151352 0.0206016 0.026909 0.0340575 0.0420471 0.0508778 0.0605495 0.071062 0.082415 0.0946081 0.107642 0.121517 0.136231 0.151785 0.168181 0.185421 0.203507 0.222437 0.24221 0.262824 0.284278 0.306574 0.32971 0.353687 0.378505 0.404164 0.430664 
8.49477e-14 0.000460792 0.00184473 0.0041518 0.007382 0.0115353 0.0166117 0.0226113 0.0295339 0.0373796 0.0461483 0.0558402 0.0664549 0.0779926 0.0904529 0.103836 0.118142 0.13337 0.149521 0.166595 0.184593 0.203515 0.223364 0.244138 0.265836 0.288458 0.312003 0.336471 0.361862 0.388176 0.415413 0.443573 0.472656 
-6.64573e-15 0.000503755 0.00201649 0.00453819 0.00806885 0.0126085 0.018157 0.0247145 0.0322809 0.0408562 0.0504404 0.0610335 0.0726354 0.085246 0.0988653 0.113493 0.12913 0.145775 0.163429 0.182093 0.201765 0.222448 0.244142 0.266846 0.29056 0.315284 0.341016 0.367758 0.395509 0.424269 0.454037 0.484815 0.516602 
3.92937e-13 0.000548635 0.00219589 0.00494177 0.00878625 0.0137293 0.019771 0.0269113 0.0351501 0.0444875 0.0549234 0.0664578 0.0790907 0.0928221 0.107652 0.12358 0.140607 0.158732 0.177956 0.198278 0.2197 0.242221 0.265842 0.290563 0.316383 0.343302 0.37132 0.400436 0.430652 0.461966 0.494379 0.52789 0.5625 
-1.2091e-15 0.000595431 0.00238295 0.00536254 0.00953421 0.0148979 0.0214537 0.0292015 0.0381414 0.0482733 0.0595972 0.0721131 0.0858209 0.100721 0.116812 0.134096 0.152572 0.17224 0.1931 0.215152 0.238397 0.262834 0.288464 0.315287 0.343303 0.372511 0.402912 0.434505 0.46729 0.501267 0.536437 0.572798 0.610352 
-5.4217e-14 0.000644142 0.00257765 0.0058005 0.0103127 0.0161143 0.0232051 0.0315853 0.0412549 0.0522137 0.0644618 0.0779992 0.0928259 0.108942 0.126347 0.145042 0.165025 0.186299 0.208861 0.232714 0.257856 0.284287 0.312009 0.34102 0.371322 0.402913 0.435793 0.469964 0.505423 0.542172 0.580211 0.619539 0.660156 
-4.69763e-15 0.000694767 0.00277999 0.00625565 0.0111218 0.0173783 0.0250253 0.0340627 0.0444905 0.0563087 0.0695173 0.0841163 0.100106 0.117485 0.136256 0.156416 0.177967 0.200909 0.225241 0.250964 0.278077 0.306581 0.336476 0.367762 0.400439 0.434506 0.469964 0.506813 0.545052 0.584682 0.625702 0.668113 0.711914 
8.26422e-14 0.000747304 0.00298997 0.00672798 0.0119613 0.01869 0.0269141 0.0366335 0.0478482 0.0605582 0.0747635 0.0904642 0.10766 0.126351 0.146538 0.16822 0.191397 0.21607 0.242238 0.269902 0.299061 0.329716 0.361866 0.395512 0.430654 0.467291 0.505424 0.545052 0.586176 0.628795 0.67291 0.71852 0.765625 
-9.43343e-15 0.000801754 0.00320758 0.00721749 0.0128315 0.0200495 0.0288716 0.0392978 0.051328 0.0649623 0.0802006 0.0970429 0.115489 0.13554 0.157194 0.180453 0.205316 0.231782 0.259853 0.289528 0.320808 0.353691 0.388179 0.424271 0.461968 0.501268 0.542173 0.584682 0.628795 0.674513 0.721834 0.770759 0.821289 
-3.57353e-16 0.000858114 0.00343284 0.00772417 0.0137321 0.0214567 0.0308978 0.0420556 0.0549299 0.0695208 0.0858284 0.103853 0.123593 0.145051 0.168224 0.193115 0.219722 0.248046 0.278086 0.309844 0.343317 0.378508 0.415415 0.454039 0.49438 0.536437 0.580212 0.625702 0.67291 0.721834 0.772475 0.824832 0.878906 
6.93889e-18 0.000916384 0.00366573 0.00824803 0.0146633 0.0229115 0.0329927 0.0449068 0.0586539 0.074234 0.0916469 0.110893 0.131972 0.154884 0.179628 0.206206 0.234617 0.264861 0.296937 0.330847 0.36659 0.404165 0.443574 0.484816 0.527891 0.572798 0.619539 0.668113 0.71852 0.770759 0.824832 0.880738 0.938477 
0 0.000976562 0.00390625 0.00878906 0.015625 0.0244141 0.0351563 0.0478516 0.0625 0.0791016 0.0976562 0.118164 0.140625 0.165039 0.191406 0.219727 0.25 0.282227 0.316406 0.352539 0.390625 0.430664 0.472656 0.516602 0.5625 0.610352 0.660156 0.711914 0.765625 0.821289 0.878906 0.938477 1 
];
exact = [
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 9.53674e-07 3.8147e-06 8.58307e-06 1.52588e-05 2.38419e-05 3.43323e-05 4.673e-05 6.10352e-05 7.72476e-05 9.53674e-05 0.000115395 0.000137329 0.000161171 0.00018692 0.000214577 0.000244141 0.000275612 0.00030899 0.000344276 0.00038147 0.00042057 0.000461578 0.000504494 0.000549316 0.000596046 0.000644684 0.000695229 0.000747681 0.00080204 0.000858307 0.000916481 0.000976562 
0 3.8147e-06 1.52588e-05 3.43323e-05 6.10352e-05 9.53674e-05 0.000137329 0.00018692 0.000244141 0.00030899 0.00038147 0.000461578 0.000549316 0.000644684 0.000747681 0.000858307 0.000976562 0.00110245 0.00123596 0.00137711 0.00152588 0.00168228 0.00184631 0.00201797 0.00219727 0.00238419 0.00257874 0.00278091 0.00299072 0.00320816 0.00343323 0.00366592 0.00390625 
0 8.58307e-06 3.43323e-05 7.72476e-05 0.000137329 0.000214577 0.00030899 0.00042057 0.000549316 0.000695229 0.000858307 0.00103855 0.00123596 0.00145054 0.00168228 0.00193119 0.00219727 0.00248051 0.00278091 0.00309849 0.00343323 0.00378513 0.00415421 0.00454044 0.00494385 0.00536442 0.00580215 0.00625706 0.00672913 0.00721836 0.00772476 0.00824833 0.00878906 
0 1.52588e-05 6.10352e-05 0.000137329 0.000244141 0.00038147 0.000549316 0.000747681 0.000976562 0.00123596 0.00152588 0.00184631 0.00219727 0.00257874 0.00299072 0.00343323 0.00390625 0.00440979 0.00494385 0.00550842 0.00610352 0.00672913 0.00738525 0.0080719 0.00878906 0.00953674 0.0103149 0.0111237 0.0119629 0.0128326 0.0137329 0.0146637 0.015625 
0 2.38419e-05 9.53674e-05 0.000214577 0.00038147 0.000596046 0.000858307 0.00116825 0.00152588 0.00193119 0.00238419 0.00288486 0.00343323 0.00402927 0.004673 0.00536442 0.00610352 0.0068903 0.00772476 0.00860691 0.00953674 0.0105143 0.0115395 0.0126123 0.0137329 0.0149012 0.0161171 0.0173807 0.018692 0.020051 0.0214577 0.022912 0.0244141 
0 3.43323e-05 0.000137329 0.00030899 0.000549316 0.000858307 0.00123596 0.00168228 0.00219727 0.00278091 0.00343323 0.00415421 0.00494385 0.00580215 0.00672913 0.00772476 0.00878906 0.00992203 0.0111237 0.012394 0.0137329 0.0151405 0.0166168 0.0181618 0.0197754 0.0214577 0.0232086 0.0250282 0.0269165 0.0288734 0.030899 0.0329933 0.0351562 
0 4.673e-05 0.00018692 0.00042057 0.000747681 0.00116825 0.00168228 0.00228977 0.00299072 0.00378513 0.004673 0.00565434 0.00672913 0.00789738 0.00915909 0.0105143 0.0119629 0.013505 0.0151405 0.0168695 0.018692 0.0206079 0.0226173 0.0247202 0.0269165 0.0292063 0.0315895 0.0340662 0.0366364 0.0393 0.042057 0.0449076 0.0478516 
0 6.10352e-05 0.000244141 0.000549316 0.000976562 0.00152588 0.00219727 0.00299072 0.00390625 0.00494385 0.00610352 0.00738525 0.00878906 0.0103149 0 0 0 0 0 0 0 0.0269165 0.029541 0.0322876 0.0351562 0.038147 0.0412598 0.0444946 0.0478516 0.0513306 0.0549316 0.0586548 0.0625 
0 7.72476e-05 0.00030899 0.000695229 0.00123596 0.00193119 0.00278091 0.00378513 0.00494385 0.00625706 0.00772476 0.00934696 0.0111237 0 0 0 0 0 0 0 0 0 0.0373878 0.040864 0.0444946 0.0482798 0.0522194 0.0563135 0.0605621 0.0649652 0.0695229 0.074235 0.0791016 
0 9.53674e-05 0.00038147 0.000858307 0.00152588 0.00238419 0.00343323 0.004673 0.00610352 0.00772476 0.00953674 0.0115395 0 0 0 0 0 0 0 0 0 0 0 0.0504494 0.0549316 0.0596046 0.0644684 0.0695229 0.0747681 0.080204 0.0858307 0.0916481 0.0976562 
0 0.000115395 0.000461578 0.00103855 0.00184631 0.00288486 0.00415421 0.00565434 0.00738525 0.00934696 0.0115395 0 0 0 0 0 0 0 0 0 0 0 0 0.0610437 0.0664673 0.0721216 0.0780067 0.0841227 0.0904694 0.0970469 0.103855 0.110894 0.118164 
0 0.000137329 0.000549316 0.00123596 0.00219727 0.00343323 0.00494385 0.00672913 0.00878906 0.0111237 0.0137329 0 0 0 0 0 0 0 0 0 0 0 0 0.0726471 0.0791016 0.0858307 0.0928345 0.100113 0.107666 0.115494 0.123596 0.131973 0.140625 
0 0.000161171 0.000644684 0.00145054 0.00257874 0.00402927 0.00580215 0.00789738 0.0103149 0.0130548 0.0161171 0 0 0 0 0 0 0 0 0 0 0 0 0 0.0928345 0.100732 0.108952 0.117494 0.126358 0.135545 0.145054 0.154885 0.165039 
0 0.00018692 0.000747681 0.00168228 0.00299072 0.004673 0.00672913 0.00915909 0.0119629 0.0151405 0.018692 0 0 0 0 0 0 0 0 0 0 0 0 0 0.107666 0.116825 0.126358 0.136265 0.146545 0.1572 0.168228 0.17963 0.191406 
0 0.000214577 0.000858307 0.00193119 0.00343323 0.00536442 0.00772476 0.0105143 0.0137329 0.0173807 0.0214577 0 0 0 0 0 0 0 0 0 0 0 0 0.113511 0.123596 0.13411 0.145054 0.156426 0.168228 0.180459 0.193119 0.206208 0.219727 
0 0.000244141 0.000976562 0.00219727 0.00390625 0.00610352 0.00878906 0.0119629 0.015625 0.0197754 0.0244141 0 0 0 0 0 0 0 0 0 0 0 0 0.12915 0.140625 0.152588 0.165039 0.177979 0.191406 0.205322 0.219727 0.234619 0.25 
0 0.000275612 0.00110245 0.00248051 0.00440979 0.0068903 0.00992203 0.013505 0.0176392 0.0223246 0.0275612 0.033349 0 0 0 0 0 0 0 0 0 0 0.133396 0.145799 0.158752 0.172257 0.186314 0.200921 0.21608 0.23179 0.248051 0.264863 0.282227 
0 0.00030899 0.00123596 0.00278091 0.00494385 0.00772476 0.0111237 0.0151405 0.0197754 0.0250282 0.030899 0.0373878 0.0444946 0 0 0 0 0 0 0 0 0 0.149551 0.163456 0.177979 0.193119 0.208878 0.225254 0.242249 0.259861 0.278091 0.29694 0.316406 
0 0.000344276 0.00137711 0.00309849 0.00550842 0.00860691 0.012394 0.0168695 0.0220337 0.0278864 0.0344276 0.0416574 0.0495758 0.0581827 0 0 0 0 0 0 0.137711 0.151826 0.16663 0.182122 0.198303 0.215173 0.232731 0.250978 0.269913 0.289536 0.309849 0.33085 0.352539 
0 0.00038147 0.00152588 0.00343323 0.00610352 0.00953674 0.0137329 0.018692 0.0244141 0.030899 0.038147 0.0461578 0.0549316 0.0644684 0.0747681 0.0858307 0.0976562 0.110245 0.123596 0.137711 0.152588 0.168228 0.184631 0.201797 0.219727 0.238419 0.257874 0.278091 0.299072 0.320816 0.343323 0.366592 0.390625 
0 0.00042057 0.00168228 0.00378513 0.00672913 0.0105143 0.0151405 0.0206079 0.0269165 0.0340662 0.042057 0.050889 0.0605621 0.0710764 0.0824318 0.0946283 0.107666 0.121545 0.136265 0.151826 0.168228 0.185472 0.203556 0.222482 0.242249 0.262856 0.284306 0.306596 0.329727 0.3537 0.378513 0.404168 0.430664 
0 0.000461578 0.00184631 0.00415421 0.00738525 0.0115395 0.0166168 0.0226173 0.029541 0.0373878 0.0461578 0.055851 0.0664673 0.0780067 0.0904694 0.103855 0.118164 0.133396 0.149551 0.16663 0.184631 0.203556 0.223404 0.244175 0.265869 0.288486 0.312027 0.336491 0.361877 0.388187 0.415421 0.443577 0.472656 
0 0.000504494 0.00201797 0.00454044 0.0080719 0.0126123 0.0181618 0.0247202 0.0322876 0.040864 0.0504494 0.0610437 0.0726471 0.0852594 0.0988808 0.113511 0.12915 0.145799 0.163456 0.182122 0.201797 0.222482 0.244175 0.266877 0.290588 0.315309 0.341038 0.367776 0.395523 0.424279 0.454044 0.484818 0.516602 
0 0.000549316 0.00219727 0.00494385 0.00878906 0.0137329 0.0197754 0.0269165 0.0351562 0.0444946 0.0549316 0.0664673 0.0791016 0.0928345 0.107666 0.123596 0.140625 0.158752 0.177979 0.198303 0.219727 0.242249 0.265869 0.290588 0.316406 0.343323 0.371338 0.400452 0.430664 0.461975 0.494385 0.527893 0.5625 
0 0.000596046 0.00238419 0.00536442 0.00953674 0.0149012 0.0214577 0.0292063 0.038147 0.0482798 0.0596046 0.0721216 0.0858307 0.100732 0.116825 0.13411 0.152588 0.172257 0.193119 0.215173 0.238419 0.262856 0.288486 0.315309 0.343323 0.372529 0.402927 0.434518 0.4673 0.501275 0.536442 0.572801 0.610352 
0 0.000644684 0.00257874 0.00580215 0.0103149 0.0161171 0.0232086 0.0315895 0.0412598 0.0522194 0.0644684 0.0780067 0.0928345 0.108952 0.126358 0.145054 0.165039 0.186314 0.208878 0.232731 0.257874 0.284306 0.312027 0.341038 0.371338 0.402927 0.435806 0.469975 0.505432 0.542179 0.580215 0.619541 0.660156 
0 0.000695229 0.00278091 0.00625706 0.0111237 0.0173807 0.0250282 0.0340662 0.0444946 0.0563135 0.0695229 0.0841227 0.100113 0.117494 0.136265 0.156426 0.177979 0.200921 0.225254 0.250978 0.278091 0.306596 0.336491 0.367776 0.400452 0.434518 0.469975 0.506822 0.545059 0.584687 0.625706 0.668115 0.711914 
0 0.000747681 0.00299072 0.00672913 0.0119629 0.018692 0.0269165 0.0366364 0.0478516 0.0605621 0.0747681 0.0904694 0.107666 0.126358 0.146545 0.168228 0.191406 0.21608 0.242249 0.269913 0.299072 0.329727 0.361877 0.395523 0.430664 0.4673 0.505432 0.545059 0.586182 0.628799 0.672913 0.718521 0.765625 
0 0.00080204 0.00320816 0.00721836 0.0128326 0.020051 0.0288734 0.0393 0.0513306 0.0649652 0.080204 0.0970469 0.115494 0.135545 0.1572 0.180459 0.205322 0.23179 0.259861 0.289536 0.320816 0.3537 0.388187 0.424279 0.461975 0.501275 0.542179 0.584687 0.628799 0.674516 0.721836 0.770761 0.821289 
0 0.000858307 0.00343323 0.00772476 0.0137329 0.0214577 0.030899 0.042057 0.0549316 0.0695229 0.0858307 0.103855 0.123596 0.145054 0.168228 0.193119 0.219727 0.248051 0.278091 0.309849 0.343323 0.378513 0.415421 0.454044 0.494385 0.536442 0.580215 0.625706 0.672913 0.721836 0.772476 0.824833 0.878906 
0 0.000916481 0.00366592 0.00824833 0.0146637 0.022912 0.0329933 0.0449076 0.0586548 0.074235 0.0916481 0.110894 0.131973 0.154885 0.17963 0.206208 0.234619 0.264863 0.29694 0.33085 0.366592 0.404168 0.443577 0.484818 0.527893 0.572801 0.619541 0.668115 0.718521 0.770761 0.824833 0.880738 0.938477 
0 0.000976562 0.00390625 0.00878906 0.015625 0.0244141 0.0351562 0.0478516 0.0625 0.0791016 0.0976562 0.118164 0.140625 0.165039 0.191406 0.219727 0.25 0.282227 0.316406 0.352539 0.390625 0.430664 0.472656 0.516602 0.5625 0.610352 0.660156 0.711914 0.765625 0.821289 0.878906 0.938477 1 
];
err = [
0 0 1.69407e-20 5.26895e-16 3.34383e-16 3.09475e-16 -9.90709e-16 -2.44495e-16 -1.58075e-14 -1.33202e-15 1.97228e-15 -7.90441e-17 -5.09167e-15 -2.71551e-15 9.31856e-15 1.49467e-14 -1.07862e-14 -1.20192e-14 1.0147e-14 -3.34412e-15 -1.04993e-13 8.6628e-15 7.23906e-15 8.67336e-15 1.75727e-14 3.6752e-15 6.44738e-15 1.93042e-14 6.98105e-14 1.06994e-14 5.70564e-15 9.48622e-15 0 
-0 -7.79674e-08 -1.57638e-07 -2.40837e-07 -3.2963e-07 -4.26422e-07 -5.34024e-07 -6.55673e-07 -7.9499e-07 -9.55903e-07 -1.14261e-06 -1.35967e-06 -1.61219e-06 -1.90564e-06 -2.24432e-06 -2.62814e-06 -3.04956e-06 -3.49299e-06 -3.92936e-06 -4.30994e-06 -4.57355e-06 -4.67088e-06 -4.58711e-06 -4.34176e-06 -3.97365e-06 -3.525e-06 -3.03158e-06 -2.51908e-06 -2.00339e-06 -1.49261e-06 -9.89371e-07 -4.92795e-07 0 
-3.78454e-18 -1.54232e-07 -3.11747e-07 -4.7608e-07 -6.51262e-07 -8.42034e-07 -1.054e-06 -1.29368e-06 -1.56838e-06 -1.88601e-06 -2.25487e-06 -2.68387e-06 -3.18345e-06 -3.76603e-06 -4.44352e-06 -5.21867e-06 -6.0771e-06 -6.99304e-06 -7.91451e-06 -8.73685e-06 -9.31339e-06 -9.52285e-06 -9.33579e-06 -8.80629e-06 -8.02784e-06 -7.09476e-06 -6.08224e-06 -5.04135e-06 -4.00186e-06 -2.97768e-06 -1.97208e-06 -9.8181e-07 0 
7.30481e-18 -2.27213e-07 -4.59037e-07 -7.00475e-07 -9.57304e-07 -1.23645e-06 -1.54627e-06 -1.89666e-06 -2.29886e-06 -2.7649e-06 -3.30696e-06 -3.93752e-06 -4.67169e-06 -5.53154e-06 -6.54504e-06 -7.72594e-06 -9.04713e-06 -1.04876e-05 -1.19988e-05 -1.34096e-05 -1.44203e-05 -1.47713e-05 -1.44269e-05 -1.35198e-05 -1.22367e-05 -1.07439e-05 -9.16128e-06 -7.56223e-06 -5.98504e-06 -4.44417e-06 -2.93946e-06 -1.46236e-06 0 
-1.98273e-16 -2.95583e-07 -5.96715e-07 -9.09476e-07 -1.24103e-06 -1.6002e-06 -1.99797e-06 -2.44782e-06 -2.96548e-06 -3.56777e-06 -4.27057e-06 -5.08754e-06 -6.03427e-06 -7.14338e-06 -8.47916e-06 -1.00929e-05 -1.18979e-05 -1.39114e-05 -1.61834e-05 -1.84824e-05 -2.0187e-05 -2.07153e-05 -2.00807e-05 -1.86093e-05 -1.66551e-05 -1.44831e-05 -1.22567e-05 -1.00612e-05 -7.93188e-06 -5.87451e-06 -3.87921e-06 -1.92819e-06 0 
-1.44741e-16 -3.58404e-07 -7.22764e-07 -1.09969e-06 -1.49714e-06 -1.92533e-06 -2.39758e-06 -2.93118e-06 -3.54748e-06 -4.27012e-06 -5.12e-06 -6.1078e-06 -7.23448e-06 -8.52854e-06 -1.01353e-05 -1.22687e-05 -1.45402e-05 -1.70765e-05 -2.03412e-05 -2.41495e-05 -2.713e-05 -2.78221e-05 -2.65713e-05 -2.41816e-05 -2.12912e-05 -1.82767e-05 -1.53211e-05 -1.24941e-05 -9.80676e-06 -7.24276e-06 -4.77469e-06 -2.37119e-06 0 
1.03175e-14 -4.1527e-07 -8.36252e-07 -1.26936e-06 -1.72253e-06 -2.20641e-06 -2.73585e-06 -3.33184e-06 -4.02314e-06 -4.84524e-06 -5.83152e-06 -6.98919e-06 -8.26731e-06 -9.60099e-06 -1.12648e-05 -1.43064e-05 -1.69176e-05 -1.95134e-05 -2.39553e-05 -3.06444e-05 -3.63613e-05 -3.68718e-05 -3.42008e-05 -3.02547e-05 -2.60516e-05 -2.20113e-05 -1.8257e-05 -1.47875e-05 -1.15582e-05 -8.51509e-06 -5.60559e-06 -2.78187e-06 0 
-7.56448e-16 -4.66424e-07 -9.37617e-07 -1.41895e-06 -1.91722e-06 -2.44192e-06 -3.00755e-06 -3.6372e-06 -4.368e-06 -5.25617e-06 -6.37164e-06 -7.75012e-06 -9.24459e-06 -1.03433e-05 -1.10166e-05 -1.67743e-05 -1.93105e-05 -2.01042e-05 -2.53222e-05 -3.81116e-05 -5.07989e-05 -4.91032e-05 -4.31053e-05 -3.65847e-05 -3.0649e-05 -2.546e-05 -2.09081e-05 -1.68404e-05 -1.31237e-05 -9.65378e-06 -6.3507e-06 -3.15071e-06 0 
-1.22602e-15 -5.12807e-07 -1.02884e-06 -1.55162e-06 -2.08546e-06 -2.63652e-06 -3.21522e-06 -3.84141e-06 -4.55549e-06 -5.43981e-06 -6.64876e-06 -8.39507e-06 -1.06176e-05 -1.15109e-05 0 0 0 0 0 0 0 -6.56367e-05 -5.25325e-05 -4.23298e-05 -3.44998e-05 -2.82715e-05 -2.30751e-05 -1.85425e-05 -1.44422e-05 -1.06257e-05 -6.9927e-06 -3.47028e-06 0 
-6.78711e-17 -5.55962e-07 -1.11332e-06 -1.67324e-06 -2.23647e-06 -2.80349e-06 -3.37541e-06 -3.95774e-06 -4.57272e-06 -5.29883e-06 -6.38853e-06 -8.56374e-06 -1.332e-05 0 0 0 0 0 0 0 0 0 -5.90584e-05 -4.57022e-05 -3.67489e-05 -3.00512e-05 -2.45782e-05 -1.98122e-05 -1.54769e-05 -1.1414e-05 -7.52414e-06 -3.73771e-06 0 
-6.17974e-15 -5.9772e-07 -1.19524e-06 -1.79153e-06 -2.3837e-06 -2.96555e-06 -3.52519e-06 -4.0414e-06 -4.47884e-06 -4.79425e-06 -5.04277e-06 -6.15135e-06 0 0 0 0 0 0 0 0 0 0 0 -4.46716e-05 -3.67424e-05 -3.06062e-05 -2.53745e-05 -2.06512e-05 -1.62393e-05 -1.20294e-05 -7.95209e-06 -3.95643e-06 0 
1.5786e-16 -6.39677e-07 -1.27839e-06 -1.91394e-06 -2.54127e-06 -3.14979e-06 -3.71842e-06 -4.20382e-06 -4.50699e-06 -4.35658e-06 -2.83695e-06 0 0 0 0 0 0 0 0 0 0 0 0 -3.95342e-05 -3.49429e-05 -3.02566e-05 -2.56622e-05 -2.11787e-05 -1.67997e-05 -1.25123e-05 -8.29836e-06 -4.13593e-06 0 
2.33199e-14 -6.82596e-07 -1.36471e-06 -2.04459e-06 -2.71762e-06 -3.37394e-06 -3.99489e-06 -4.54846e-06 -4.98873e-06 -5.28812e-06 -5.64979e-06 0 0 0 0 0 0 0 0 0 0 0 0 -3.58495e-05 -3.32386e-05 -2.9815e-05 -2.58392e-05 -2.16017e-05 -1.72686e-05 -1.29216e-05 -8.59315e-06 -4.28894e-06 0 
-4.68375e-17 -7.26e-07 -1.45325e-06 -2.18208e-06 -2.91068e-06 -3.63347e-06 -4.33873e-06 -5.00639e-06 -5.61134e-06 -6.1574e-06 -6.84203e-06 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.23468e-05 -2.99257e-05 -2.6278e-05 -2.21201e-05 -1.77516e-05 -1.33122e-05 -8.86373e-06 -4.42669e-06 0 
1.71521e-15 -7.6815e-07 -1.54023e-06 -2.3198e-06 -3.10956e-06 -3.91053e-06 -4.72018e-06 -5.52704e-06 -6.29285e-06 -6.88809e-06 -6.85484e-06 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.49075e-05 -3.1263e-05 -2.72271e-05 -2.2849e-05 -1.83054e-05 -1.37119e-05 -9.12289e-06 -4.5541e-06 0 
2.68102e-15 -8.06371e-07 -1.61972e-06 -2.44732e-06 -3.29722e-06 -4.17891e-06 -5.10441e-06 -6.08875e-06 -7.14492e-06 -8.24728e-06 -9.14201e-06 0 0 0 0 0 0 0 0 0 0 0 0 -3.68227e-05 -3.64944e-05 -3.29915e-05 -2.85185e-05 -2.37433e-05 -1.89092e-05 -1.4107e-05 -9.36186e-06 -4.66683e-06 0 
-1.0544e-13 -8.37617e-07 -1.68495e-06 -2.55255e-06 -3.45308e-06 -4.40349e-06 -5.42978e-06 -6.57863e-06 -7.95081e-06 -9.81408e-06 -1.30392e-05 0 0 0 0 0 0 0 0 0 0 0 0 -4.64485e-05 -4.12558e-05 -3.56903e-05 -3.0112e-05 -2.46966e-05 -1.94809e-05 -1.44453e-05 -9.55065e-06 -4.75137e-06 0 
2.09208e-15 -8.59152e-07 -1.7299e-06 -2.62486e-06 -3.55907e-06 -4.55219e-06 -5.63261e-06 -6.8452e-06 -8.2656e-06 -1.00191e-05 -1.22481e-05 -1.46059e-05 0 0 0 0 0 0 0 0 0 0 -6.49557e-05 -5.57883e-05 -4.639e-05 -3.84018e-05 -3.15428e-05 -2.54502e-05 -1.98724e-05 -1.46426e-05 -9.64409e-06 -4.788e-06 0 
-2.68622e-15 -8.69092e-07 -1.75063e-06 -2.65792e-06 -3.60614e-06 -4.61358e-06 -5.70326e-06 -6.90394e-06 -8.24735e-06 -9.74841e-06 -1.13284e-05 -1.25964e-05 -1.26052e-05 0 0 0 0 0 0 0 0 0 -9.42097e-05 -6.53589e-05 -5.0114e-05 -3.99842e-05 -3.2207e-05 -2.56891e-05 -1.9916e-05 -1.46086e-05 -9.59511e-06 -4.75654e-06 0 
6.47919e-15 -8.66586e-07 -1.74561e-06 -2.65007e-06 -3.59397e-06 -4.59274e-06 -5.6629e-06 -6.81995e-06 -8.07144e-06 -9.39888e-06 -1.07205e-05 -1.18461e-05 -1.25422e-05 -1.30136e-05 0 0 0 0 0 0 -6.93395e-05 -9.56129e-05 -7.82331e-05 -6.13236e-05 -4.87231e-05 -3.92139e-05 -3.1612e-05 -2.5183e-05 -1.9494e-05 -1.42807e-05 -9.37118e-06 -4.64304e-06 0 
-7.35835e-14 -8.51636e-07 -1.71517e-06 -2.60276e-06 -3.52695e-06 -4.50052e-06 -5.53565e-06 -6.64153e-06 -7.81959e-06 -9.05513e-06 -1.03088e-05 -1.15252e-05 -1.27038e-05 -1.40688e-05 -1.61297e-05 -2.08538e-05 -2.5383e-05 -2.87107e-05 -3.54465e-05 -4.87152e-05 -5.79688e-05 -6.65879e-05 -6.17863e-05 -5.29793e-05 -4.42409e-05 -3.65362e-05 -2.98441e-05 -2.39371e-05 -1.85961e-05 -1.36491e-05 -8.96586e-06 -4.44444e-06 0 
-6.29705e-15 -8.24788e-07 -1.66068e-06 -2.51885e-06 -3.41053e-06 -4.34676e-06 -5.33763e-06 -6.39094e-06 -7.51024e-06 -8.69322e-06 -9.93449e-06 -1.1242e-05 -1.26792e-05 -1.44279e-05 -1.6808e-05 -2.02519e-05 -2.40844e-05 -2.81896e-05 -3.38102e-05 -4.11957e-05 -4.72325e-05 -5.09836e-05 -4.93448e-05 -4.45664e-05 -3.87251e-05 -3.28459e-05 -2.72911e-05 -2.21252e-05 -1.73041e-05 -1.27538e-05 -8.39872e-06 -4.16884e-06 0 
8.49477e-14 -7.86839e-07 -1.5839e-06 -2.40142e-06 -3.24958e-06 -4.13836e-06 -5.07716e-06 -6.07437e-06 -7.13722e-06 -8.273e-06 -9.49394e-06 -1.0829e-05 -1.23433e-05 -1.41555e-05 -1.64227e-05 -1.92615e-05 -2.25131e-05 -2.61531e-05 -3.0409e-05 -3.50248e-05 -3.8782e-05 -4.07692e-05 -4.00431e-05 -3.72165e-05 -3.32472e-05 -2.88312e-05 -2.43491e-05 -1.99685e-05 -1.57413e-05 -1.16634e-05 -7.70633e-06 -3.83222e-06 0 
-6.64573e-15 -7.38668e-07 -1.48667e-06 -2.25334e-06 -3.04801e-06 -3.87994e-06 -4.75827e-06 -5.69215e-06 -6.69127e-06 -7.76764e-06 -8.9393e-06 -1.02367e-05 -1.17095e-05 -1.3428e-05 -1.54657e-05 -1.78584e-05 -2.05532e-05 -2.35009e-05 -2.66477e-05 -2.97126e-05 -3.21015e-05 -3.32681e-05 -3.28417e-05 -3.10092e-05 -2.82159e-05 -2.48828e-05 -2.13056e-05 -1.76585e-05 -1.40292e-05 -1.04521e-05 -6.93098e-06 -3.45372e-06 0 
3.92937e-13 -6.81163e-07 -1.37077e-06 -2.07727e-06 -2.80918e-06 -3.57511e-06 -4.38385e-06 -5.24469e-06 -6.16808e-06 -7.16698e-06 -8.25896e-06 -9.46886e-06 -1.08301e-05 -1.23812e-05 -1.41539e-05 -1.6153e-05 -1.83405e-05 -2.06495e-05 -2.29683e-05 -2.50764e-05 -2.66433e-05 -2.736e-05 -2.70465e-05 -2.57627e-05 -2.37243e-05 -2.11784e-05 -1.8332e-05 -1.53306e-05 -1.2265e-05 -9.18469e-06 -6.11181e-06 -3.05166e-06 0 
-1.2091e-15 -6.15221e-07 -1.23796e-06 -1.87578e-06 -2.53634e-06 -3.22747e-06 -3.95732e-06 -4.73467e-06 -5.56939e-06 -6.47323e-06 -7.46072e-06 -8.54975e-06 -9.76073e-06 -1.11127e-05 -1.26156e-05 -1.42595e-05 -1.60061e-05 -1.77882e-05 -1.94997e-05 -2.09815e-05 -2.20353e-05 -2.24821e-05 -2.22214e-05 -2.1271e-05 -1.97402e-05 -1.77747e-05 -1.55132e-05 -1.30671e-05 -1.05156e-05 -7.90985e-06 -5.2799e-06 -2.64112e-06 0 
-5.4217e-14 -5.41758e-07 -1.09008e-06 -1.65156e-06 -2.23293e-06 -2.8411e-06 -3.4833e-06 -4.16728e-06 -4.90158e-06 -5.69583e-06 -6.56094e-06 -7.5087e-06 -8.55037e-06 -9.69344e-06 -1.09365e-05 -1.2263e-05 -1.36365e-05 -1.49975e-05 -1.62608e-05 -1.73146e-05 -1.80344e-05 -1.83118e-05 -1.80859e-05 -1.73597e-05 -1.61909e-05 -1.46668e-05 -1.2879e-05 -1.09089e-05 -8.82029e-06 -6.65924e-06 -4.45684e-06 -2.23291e-06 0 
-4.69763e-15 -4.61736e-07 -9.29023e-07 -1.40745e-06 -1.90273e-06 -2.42071e-06 -2.9675e-06 -3.54957e-06 -4.17381e-06 -4.84758e-06 -5.57849e-06 -6.37373e-06 -7.23862e-06 -8.17418e-06 -9.17381e-06 -1.02196e-05 -1.12792e-05 -1.23046e-05 -1.32312e-05 -1.39818e-05 -1.44757e-05 -1.4645e-05 -1.44507e-05 -1.38908e-05 -1.29971e-05 -1.18224e-05 -1.04273e-05 -8.86931e-06 -7.19743e-06 -5.44998e-06 -3.6553e-06 -1.83369e-06 0 
8.26422e-14 -3.76164e-07 -7.56823e-07 -1.14651e-06 -1.54982e-06 -1.9715e-06 -2.41643e-06 -2.88968e-06 -3.3965e-06 -3.94219e-06 -4.53173e-06 -5.16912e-06 -5.85619e-06 -6.59087e-06 -7.36501e-06 -8.16225e-06 -8.95629e-06 -9.71029e-06 -1.03777e-05 -1.09057e-05 -1.12415e-05 -1.13418e-05 -1.11809e-05 -1.07558e-05 -1.00842e-05 -9.19858e-06 -8.13839e-06 -6.94359e-06 -5.65014e-06 -4.28796e-06 -2.88068e-06 -1.44656e-06 0 
-9.43343e-15 -2.86099e-07 -5.75598e-07 -8.71923e-07 -1.17855e-06 -1.49904e-06 -1.83702e-06 -2.19622e-06 -2.58034e-06 -2.99295e-06 -3.43711e-06 -3.91483e-06 -4.42616e-06 -4.96808e-06 -5.53312e-06 -6.10813e-06 -6.6734e-06 -7.20258e-06 -7.66372e-06 -8.0218e-06 -8.24296e-06 -8.29968e-06 -8.17547e-06 -7.86739e-06 -7.38541e-06 -6.74924e-06 -5.98409e-06 -5.11653e-06 -4.17158e-06 -3.17103e-06 -2.13291e-06 -1.07186e-06 0 
-3.57353e-16 -1.92634e-07 -3.87547e-07 -5.87036e-07 -7.93427e-07 -1.00908e-06 -1.23641e-06 -1.47783e-06 -1.73569e-06 -2.01216e-06 -2.30894e-06 -2.62691e-06 -2.96554e-06 -3.32216e-06 -3.69126e-06 -4.06375e-06 -4.4266e-06 -4.76291e-06 -5.05276e-06 -5.27481e-06 -5.40883e-06 -5.43849e-06 -5.35388e-06 -5.15285e-06 -4.84076e-06 -4.4289e-06 -3.93219e-06 -3.36684e-06 -2.74862e-06 -2.09167e-06 -1.40807e-06 -7.07963e-07 0 
6.93889e-18 -9.68886e-08 -1.94921e-07 -2.95248e-07 -3.99033e-07 -5.07459e-07 -6.21717e-07 -7.42994e-07 -8.72432e-07 -1.01104e-06 -1.15958e-06 -1.31835e-06 -1.48692e-06 -1.66377e-06 -1.84602e-06 -2.02903e-06 -2.20633e-06 -2.36971e-06 -2.50958e-06 -2.61587e-06 -2.67907e-06 -2.69156e-06 -2.6487e-06 -2.54936e-06 -2.39589e-06 -2.19343e-06 -1.94891e-06 -1.67004e-06 -1.3644e-06 -1.03895e-06 -6.99737e-07 -3.51925e-07 0 
0 0 4.996e-15 5.86718e-14 2.70894e-14 -1.86282e-13 4.50612e-14 -2.30371e-15 -2.71554e-13 -1.08358e-13 -6.32827e-15 1.17505e-12 8.02136e-15 -2.42306e-14 3.40283e-13 3.69982e-14 -3.29264e-13 2.47247e-13 1.53316e-12 1.08191e-13 1.82243e-13 -7.36522e-13 -3.57492e-13 -2.19602e-13 -3.48166e-13 8.12905e-13 -3.42393e-13 -2.26152e-13 4.03899e-13 5.72542e-13 2.65343e-14 0 0 
];
